GCD of 640, 358, 748, 157 Calculator

Given Input numbers are 640, 358, 748, 157

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 640, 358, 748, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 358, 748, 157 is 1.

Therefore, GCD of numbers 640, 358, 748, 157 is 1

Given Input Data is 640, 358, 748, 157

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 358 is 2 x 179

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 157 is 157

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(640, 358) = 114560

GCD(640, 358) = ( 640 x 358 ) / 114560

GCD(640, 358) = 229120 / 114560

GCD(640, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 157

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 157) = 314

GCD(2, 157) = ( 2 x 157 ) / 314

GCD(2, 157) = 314 / 314

GCD(2, 157) = 1

GCD of 640, 358, 748, 157 is 1

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• GCD of 292, 653, 302, 694
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1. What is the GCD of 640, 358, 748, 157?

GCD of 640, 358, 748, 157 is 1

2. Where do I get the detailed procedure to find GCD of 640, 358, 748, 157?

You can find a detailed procedure to find GCD of 640, 358, 748, 157 on our page.

3. How to find GCD of 640, 358, 748, 157 on a calculator?

You can find the GCD of 640, 358, 748, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.